C++复数运算符重载，复数开平方

VS2019 C++实测可用

#include <iostream>
#define PI acos(-1)
using namespace std;class Complex
{public:double real;double imag;//   double cabs = double(sqrt(real * real + imag * imag));//   double ctheta = atan(imag / real);Complex(){real = 0;imag = 0;}Complex(double r, double i){real = r;imag = i;}friend Complex operator+(Complex& c1,const Complex& c2);friend Complex operator-(Complex& c1,const Complex& c2);friend Complex operator*(Complex& c1, const Complex& c2);friend Complex operator/(Complex& c1, const Complex& c2);friend Complex operator+(Complex& c1, double c);friend Complex operator-(Complex& c1, double c);friend Complex operator*(Complex& c1, double c);friend Complex operator/(Complex& c1, double c);friend Complex operator+(double c, const Complex& c1);friend Complex operator-(double c, const Complex& c1);friend Complex operator*(double c, const Complex& c1);friend Complex operator/(double c, const Complex& c1);void display();Complex ckf(Complex& c1,int n);double cabs();double csqrt();
private:};
Complex operator+(Complex& c1,const Complex& c2)
{return  Complex(c2.real + c1.real, c2.imag + c1.imag);
}
Complex operator-(Complex& c1, const Complex& c2)
{return  Complex(c1.real - c2.real, c1.imag - c2.imag);
}
Complex operator*(Complex& c1, const Complex& c2)
{return  Complex((c1.real * c2.real - c1.imag * c2.imag), (c1.real * c2.imag + c1.imag * c2.real));
}
Complex operator/(Complex& c1, const Complex& c2)
{Complex c;c.real = ((c1.real * c2.real + c1.imag * c2.imag) / ((c2.real * c2.real) + (c2.imag * c2.imag)));c.imag = ((c1.imag * c2.real - c1.real * c2.imag) / ((c2.real * c2.real) + (c2.imag * c2.imag)));return c;
}Complex operator+(Complex& c1, double c)
{return  Complex(c1.real+c, c1.imag);
}
Complex operator-(Complex& c1, double c)
{return  Complex(c1.real-c, c1.imag);
}
Complex operator*(Complex& c1, double c)
{return  Complex((c * c1.real), (c1.imag * c));
}
Complex operator/(Complex& c1, double c)
{Complex c3;c3.real = c1.real / c;c3.imag = c1.imag / c;return c3;
}
Complex operator+(double c, const Complex& c1)
{return  Complex(c + c1.real, c1.imag);
}
Complex operator-(double c, const Complex& c1)
{return  Complex(c-c1.real, -c1.imag);
}
Complex operator*(double c, const Complex& c1)
{return  Complex((c * c1.real), (c1.imag * c));
}
Complex operator/(double c, const Complex& c1)
{Complex c3;c3.real = (c * c1.real) / (c1.real * c1.real + c1.imag * c1.imag);c3.imag = (-c * c1.imag) / (c1.real * c1.real + c1.imag * c1.imag);return c3;
}
void Complex::display()
{cout << "(" << real << "," << imag << "i)" << endl;
}double cabs(Complex& c1)
{return(sqrt(c1.real * c1.real + c1.imag * c1.imag));
}Complex csqrt(Complex& c1)
{Complex c3;double ctheta;if (c1.real > 0){ctheta= atan(c1.imag / c1.real);}else if (c1.real == 0 && c1.imag > 0){ctheta = PI / 2;}else if (c1.real == 0 && c1.imag < 0){ctheta = -PI / 2;}else if (c1.real < 0 && c1.imag >= 0){ctheta = atan(c1.imag / c1.real) + PI;}else if (c1.real < 0 && c1.imag < 0){ctheta = atan(c1.imag / c1.real) - PI;}c3.real = sqrt(cabs(c1)) * cos(ctheta / 2);c3.imag = sqrt(cabs(c1)) * sin(ctheta / 2);return c3;
}

检验部分

#include "complex.h"
#include <iostream>
using namespace std;int main()
{double c = 5;Complex c1(1,-2), c2(3,-4), c3;cout << "c="<<c<<endl;cout << "c1=";c1.display();cout << "c2=";c2.display();c3 = c1 + c2;cout << "复数与复数：" << endl;cout << "c1+c2=";c3.display();c3 = c1 - c2;cout << "c1-c2=";c3.display();c3 = c1 * c2;cout << "c1*c2=";c3.display();c3 = c1 / c2;cout << "c1/c2=";c3.display();cout << endl;cout << "复数与实数：" << endl;cout << "c=" << c << endl;cout << "c1=";c1.display();c3 = c1 + c;cout << "c1+c=";c3.display();c3 = c1 - c;cout << "c1-c=";c3.display();c3 = c1 * c;cout << "c1*c=";c3.display();c3 = c1 / c;cout << "c1/c=";c3.display();cout << endl;cout << "实数与复数：" << endl;cout << "c=" << c << endl;cout << "c2=";c2.display();c3 = c + c2;cout << "c + c2=";c3.display();c3 = c - c2;cout << "c - c2=";c3.display();c3 = c * c2;cout << "c * c2=";c3.display();c3 = c / c2;cout << "c / c2=";c3.display();cout << "自定义：" << endl;cout << "实部：" << endl;cout << c3.real;cout << "\n虚部：" << endl;cout << c3.imag;cout << "复数开方：" << endl;c3.real=-1;c3.imag = 0;cout << "\n" << endl;cout << "c3：" << endl;c3.display();c3 = csqrt(c3);c3.display();cout << "混合运算：" << endl;Complex c4;c1.display();c2.display();c3 = c1 + c2;c4 = c1 * c2;c4 = c + (c1 * c2);c4.display();return 0;}

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C++复数运算符重载，复数开平方

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